Explore BrainMass

Explore BrainMass

    Irreducible Polynomial : Galois Group

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    4. Find an irreducible polynomial defining the field extension K = Q (cube root 2, sq root − 3) over Q . Is K a normal extension of Q ? What is the Galois group for the splitting field of the polynomial defining K over Q ?

    © BrainMass Inc. brainmass.com March 4, 2021, 5:48 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/irreducible-polynomial-galois-group-11756

    Attachments

    Solution Summary

    The Galois group for the splitting field of a polynomial is determined.

    $2.49

    ADVERTISEMENT